Nice! I was stuck on sigh.

Serf
Surf
Turf
Turn
Tarn <-- a small mountain lake or pool, especially one in a cirque.
Tare
Tame
Time
Tine
Ting
King

Change "kite" to "flew".

Kite
Kits
Bits
Bets
Bees
Fees
Feed
Fled
Flew

Change "true" to "myth".

True
Tree
Free
Fret
Feet
Meet
Melt
Malt
Math
Myth

Change "lion" to "roar".

Lion
Loon
Loan
Load
Road
Roar

Change "safe" to "slab".

Safe
Sate
Mate
Matt
Malt
Melt
Meat
Seat
Slat
Slab

Change "corn" to "grit".

Corn
Coin
Coil
Boil
Bail
Bait
Gait
Grit

Change "mice" to "game".

Mice
Mite
Mate
Gate
Game

Change "sups" to "dine".

Sups
Sips
Dips
Dins
Dine

Change "fool" to "wise".

Fool
Pool
Poll
Roll
Role
Rote
Rite
Rise
Wise

Change "brew" to "teas".

Brew
Drew
Draw
Dram
Tram
Team
Teas

Change "ship" to "card".

Ship
Slip
Slap
Slam
Seam
Seas
Sets
Bets
Bats
Bate
Bare
Barn
Bard
Card

Change "mugs" to "face".

Mugs
Mags
Mage
Mace
Face

Change "tyre" to "trip".

Tyre
Tire
Time
Tine
Tint
Pint
Pent
Peat
Seat
Seam
Team
Tram
Trap
Trip

Change "hold" to "free".

Hold
Held
Heed
Feed
Feet
Fret
Free

Change "wage" to "stop".

Wage
Wale
Wall
Well
Pell
Peel
Peal
Seal
Seam
Slam
Slap
Slop
Stop

Change "zero" to "ones."